document.write( "Question 1055949: 5^(2x) - 5^(x-1) = -6
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #671085 by ikleyn(52852)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "5^(2x) - 5^(x-1) = -6
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "This equation is the same as\r\n" );
document.write( "\r\n" );
document.write( "\"5%5E%282x%29+-+%281%2F5%29%2A5%5Ex\" = -6.\r\n" );
document.write( "\r\n" );
document.write( "Multiply both sides by 5. You will get.\r\n" );
document.write( "\r\n" );
document.write( "\"5%2A%285%5E%282x%29%29+-+5%5Ex+%2B+30\" = 0.\r\n" );
document.write( "\r\n" );
document.write( "Introduce new variable u = \"5%5Ex\". Then the last equation takes the form\r\n" );
document.write( "\r\n" );
document.write( "\"5u%5E2+-+u+%2B+30\" = 0.\r\n" );
document.write( "\r\n" );
document.write( "Apply the quadratic formula\r\n" );
document.write( "\r\n" );
document.write( "\"u%5B1%2C2%5D\" = \"%281+%2B-+sqrt%281+-+4%2A5%2A30%29%29%2F10\".\r\n" );
document.write( "\r\n" );
document.write( "There are NO real solutions.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Are you sure you correctly wrote your equation?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );